AMSCO'S Geometry. New York - Rye High School

AB g In 1–5, CD gand these lines are cut by transversal GH gat points E and F,Review Exercises 375REVIEW EXERCISESrespectively.1. If mAEF 5x and mDFE 75,find x.2. If mCFE 3y 20 andmAEG 4y 10, find y.3. If mBEF 5x andmCFE 7x 48, find x.4. If mDFE y andmBEF 3y 40, find mDFE.5. If mAEF 4x andmEFD 3x 18, find:a. the value of x b. mAEFc. mEFD d. mBEF e. mCFH6. The degree measure of the vertex angle of an isosceles triangle is 120. Findthe measure of a base angle of the triangle.7. In ABC, A C. If AB 8x 4 and CB 3x 34, find x.8. In an isosceles triangle, if the measure of the vertex angle is 3 times themeasure of a base angle, find the degree measure of a base angle.9. In a triangle, the degree measures of the three angles are represented by x,x 42, and x 6. Find the angle measures.10. In PQR, if mP 35 and mQ 85, what is the degree measure of anexterior angle of the triangle at vertex R?11. An exterior angle at the base of an isosceles triangle measures 130°. Findthe measure of the vertex angle.12. In ABC, if AB AC and mA 70, find mB.13. In DEF, if DE DF and mE 13, find mD.14. In PQR, PQ is extended through Q to point T, forming exterior RQT.If mRQT 70 and mR 10, find mP.15. In ABC, AC BC. The degree measure of an exterior angle at vertex Cis represented by 5x 10. If mA 30, find x.16. The degree measures of the angles of a triangle are represented by x 10,2x 20, and 3x 10. Find the measure of each angle of the triangle.17. If the degree measures of the angles of a triangle are represented by x, y,and x y, what is the measure of the largest angle of the triangle?ACGEFBDH